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Representing Systems as Matrices (Algebra 2)

Free printable Algebra 2 algebra worksheet on writing the coefficient matrix and augmented matrix of a system of linear equations.

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Algebra 2 · Math worksheet
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Algebra 2: Representing Systems as Matrices

Write the requested matrix (coefficient matrix or augmented matrix) for each system of linear equations. Use the variable order shown in each equation.

  1. 1.
    Write the coefficient matrix for the system: 6x - 6y - 4z = -5; -2x - 6y - 2z = 8; -2x + 6y + z = -8
  2. 2.
    Write the coefficient matrix for the system: -6x - 3y = -6; x + 5y = 6
  3. 3.
    Write the augmented matrix for the system: 2x + 2y - 5z = 8; -2x + 6y + 2z = -8; 4x + 4y - 4z = -2
  4. 4.
    Write the augmented matrix for the system: 5x - 5y = 7; -6x + 4y = -8
  5. 5.
    Write the coefficient matrix for the system: -6x - 6y - 6z = 0; 4x + y + 2z = -9; 4x - 2y + 6z = 5
  6. 6.
    Write the coefficient matrix for the system: -x - 5y = 1; 3x - 2y = -2
  7. 7.
    Write the augmented matrix for the system: 6x + y + 6z = 7; -5x - 2y - 2z = 8; 2x - 2y + 4z = 6
  8. 8.
    Write the augmented matrix for the system: -4x + 5y = 4; -5x - 5y = 6
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